Higher order sliding modes
نویسندگان
چکیده
منابع مشابه
Higher Order Sliding Modes
One of the most important control problems is control under heavy uncertainty conditions. While there are a number of sophisticated methods like adaptation based on identi cation and observation, or absolute stability methods, the most obvious way to withstand the uncertainty is to keep some constraints by "brutal force". Indeed any strictly kept equality removes one "uncertainty dimension". Th...
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Being a motion on a discontinuity set of a dynamic system, sliding mode is used to keep accurately a given constraint and features theoretically-infinite-frequency switching. Standard sliding modes provide for finite-time convergence, precise keeping of the constraint and robustness with respect to internal and external disturbances. Yet the relative degree of the constraint has to be 1 and a d...
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Homogeneity features of dynamic systems are known to provide for a number of general practically important features. In particular, the finite-time convergence is easily proved, and the asymptotic accuracy is readily calculated in the presence of input noises, delays and discrete sampling. General uncertain single-input-single-output regulation problems are only solvable by means of discontinuo...
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The problem of ordering chaos by second-order sliding-mode control is addressed. The proposed approach offers an effective, yet simple, solution tackling both the uncertainties affecting the chaotic dynamics and the measurement noise corrupting the feedback signals. The procedure is illustrated making reference to Chua's circuit and the “suboptimal” second-order sliding-mode control algorithm. ...
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Output-feedback high-order sliding-mode (HOSM) controls include HOSM-based differentiators and, therefore, possess complicated discontinuous dynamics. Their practical application naturally involves discrete noisy output sampling and numeric integration of the internal variables. Resulting hybrid systems are shown to be stable, and the corresponding asymptotic sliding-mode accuracies are calcula...
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ژورنال
عنوان ژورنال: International Journal of Robust and Nonlinear Control
سال: 2008
ISSN: 1049-8923,1099-1239
DOI: 10.1002/rnc.1229